Atkin-Lehner |
2+ 3+ 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
99216f |
Isogeny class |
Conductor |
99216 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
192000 |
Modular degree for the optimal curve |
Δ |
-99157116494592 = -1 · 28 · 39 · 135 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 2 2 3 13- 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,11556,-30132] |
[a1,a2,a3,a4,a6] |
Generators |
[289:5239:1] |
Generators of the group modulo torsion |
j |
33869988864/19678529 |
j-invariant |
L |
9.8402895760545 |
L(r)(E,1)/r! |
Ω |
0.35458035430687 |
Real period |
R |
2.7751931104387 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012562 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49608c1 99216e1 |
Quadratic twists by: -4 -3 |